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Finding the Fourth Proportional to 16,500.46, 24,755.26 and 7,618.50

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Solution

The fourth proportional to 16,500.46, 24,755.26 and 7,618.50 is: 11,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.46 : 24,755.26 = 7,618.50 : x
  2. Step 2: Convert to fraction form
    16,500.46/24,755.26 = 7,618.50/x
  3. Step 3: Cross multiply
    16,500.46x = 24,755.26 × 7,618.50
  4. Step 4: Simplify right side
    16,500.46x = 188,597,929.26
  5. Step 5: Solve for x
    x = 188,597,929.26/16,500.46
  6. Step 6: Final answer
    x = 11,429.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.